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A Generalization to Signed Graphs of a Theorem of Sergey Norin and Robin Thomas

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Horrocks_Courtney.pdf (4.25 MB)

Date

2019-12-19

Authors

Horrocks, Courtney

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University of Waterloo

Abstract

In this thesis we characterize the minimal non-planar extensions of a signed graph. We consider the following question: Given a subdivision of a planar signed graph (G, Σ), what are the minimal structures that can be added to the subdivision to make it non-planar? Sergey Norin and Robin Thomas answered this question for unsigned graphs, assuming almost 4-connectivity for G and H. By adapting their proof to signed graphs, we prove a generalization of their result.

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Keywords

signed graphs, planar, graph theory

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http://hdl.handle.net/10012/15350

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Combinatorics and Optimization